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Finding the Fourth Proportional to 945.35, 1,418.13 and 329.27

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Solution

The fourth proportional to 945.35, 1,418.13 and 329.27 is: 493.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.35 : 1,418.13 = 329.27 : x
  2. Step 2: Convert to fraction form
    945.35/1,418.13 = 329.27/x
  3. Step 3: Cross multiply
    945.35x = 1,418.13 × 329.27
  4. Step 4: Simplify right side
    945.35x = 466,941.50
  5. Step 5: Solve for x
    x = 466,941.50/945.35
  6. Step 6: Final answer
    x = 493.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.